379896448000 has 176 divisors, whose sum is σ = 948921861888. Its totient is φ = 151772160000.

The previous prime is 379896447991. The next prime is 379896448007. The reversal of 379896448000 is 844698973.

It is a super-2 number, since 2×379896448000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (379896448007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157566795 + ... + 157569205.

It is an arithmetic number, because the mean of its divisors is an integer number (5391601488).

Almost surely, 2^379896448000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379896448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474460930944).

379896448000 is an abundant number, since it is smaller than the sum of its proper divisors (569025413888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379896448000 is a wasteful number, since it uses less digits than its factorization.

379896448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 379896448000 in words is "three hundred seventy-nine billion, eight hundred ninety-six million, four hundred forty-eight thousand".